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Finding the Fourth Proportional to 29,505.10, 44,258.74 and 9,785.38

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Solution

The fourth proportional to 29,505.10, 44,258.74 and 9,785.38 is: 14,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,505.10 : 44,258.74 = 9,785.38 : x
  2. Step 2: Convert to fraction form
    29,505.10/44,258.74 = 9,785.38/x
  3. Step 3: Cross multiply
    29,505.10x = 44,258.74 × 9,785.38
  4. Step 4: Simplify right side
    29,505.10x = 433,088,589.22
  5. Step 5: Solve for x
    x = 433,088,589.22/29,505.10
  6. Step 6: Final answer
    x = 14,678.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.